Recursive staircase is a brute force problem where you have to determine the number of ways to reach the top of a staircase, given that you can only take 1 or 2 steps at a time. Learn how to implement Recursive Staircase in JavaScript.

There are n stairs, a person standing at the bottom wants to reach the top. The person can climb either 1 or 2 stairs at a time. *Count the number of ways, the person can reach the top.*

This is an interesting problem because there are several ways of how it may be solved that illustrate different programming paradigms.

- Brute Force Recursive Solution - Time: O(2^n); Space: O(1)
- Recursive Solution With Memoization - Time: O(n); Space: O(n)
- Dynamic Programming Solution - Time: O(n); Space: O(n)
- Iterative Solution - Time: O(n); Space: O(1)

TheOriginal Articlecan be found onhttps://github.com

#javascript #algorithms #datastructures

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